Generalization for Amann's and Leggett--Williams' three-solution theorems and applications

DOI10.1016/j.jmaa.2004.06.001zbMath1073.47055OpenAlexW2093166481MaRDI QIDQ1883444

Guodong Han, Fuyi Li

Publication date: 12 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.001

zbMATH Keywords

fixed point indexcompletely continuous operatorthree-solution theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (7)

Multiple positive radial solutions to some Kirchhoff equations ⋮ On sign-changing solutions for nonlinear operator equations ⋮ Multiplicity of solutions of Dirichlet second order boundary value problems with derivative dependance ⋮ Multiple solutions for nonlinear operator equations under the condition of two pairs of paralleled lower and upper solutions ⋮ Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ Multiple unbounded positive solutions for three-point BVPs with sign-changing nonlinearities on the positive half-line ⋮ Existence of solutions to a class of nonlinear second order two-point boundary value problems

Cites Work

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• Multiple positive solutions of some boundary value problems
• General Lidstone problems: Multiplicity and symmetry of solutions
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
• Multiple symmetric positive solutions for a second order boundary value problem

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